Abstract : Including computers in classroom activities becomes a challenge due to the fact that many students still need assistance, while a few others apparently have already developed the required technical expertise for dealing with computers. This paper intends to discuss that issue, which is taken into account as a multiplicity rather than as a duality. Thus, this paper has the aim of contributing to the pedagogical practices structured on such context by creating communication environments supportive to students with different levels of familiarization with computers. We have looked for theoretical references which thought over the appropriate communication and cultural practices for dealing with such heterogeneity. Among those references, there are studies on new literacies, that is, decentralized and dutiful sociocultural practices specially associated with the digital environment, and delivered to networks and cooperatives. We have observed two practices adopted during the Elementary School Early Years. Thereby this research consists of a theoretical debate supported by bibliographical references which highlight the criteria adopted by teachers in order to promote a more effective integration of students with different levels of technological knowledge, thus contributing to the instruction on those paramount skills required by everyone.